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rcond.rs
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rcond.rs
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use crate::{error::*, layout::MatrixLayout, *};
use cauchy::*;
use num_traits::Zero;
pub trait Rcond_: Scalar + Sized {
/// Estimates the the reciprocal of the condition number of the matrix in 1-norm.
///
/// `anorm` should be the 1-norm of the matrix `a`.
fn rcond(l: MatrixLayout, a: &[Self], anorm: Self::Real) -> Result<Self::Real>;
}
macro_rules! impl_rcond_real {
($scalar:ty, $gecon:path) => {
impl Rcond_ for $scalar {
fn rcond(l: MatrixLayout, a: &[Self], anorm: Self::Real) -> Result<Self::Real> {
let (n, _) = l.size();
let mut rcond = Self::Real::zero();
let mut info = 0;
let mut work: Vec<MaybeUninit<Self>> = vec_uninit(4 * n as usize);
let mut iwork: Vec<MaybeUninit<i32>> = vec_uninit(n as usize);
let norm_type = match l {
MatrixLayout::C { .. } => NormType::Infinity,
MatrixLayout::F { .. } => NormType::One,
};
unsafe {
$gecon(
norm_type.as_ptr(),
&n,
AsPtr::as_ptr(a),
&l.lda(),
&anorm,
&mut rcond,
AsPtr::as_mut_ptr(&mut work),
AsPtr::as_mut_ptr(&mut iwork),
&mut info,
)
};
info.as_lapack_result()?;
Ok(rcond)
}
}
};
}
impl_rcond_real!(f32, lapack_sys::sgecon_);
impl_rcond_real!(f64, lapack_sys::dgecon_);
macro_rules! impl_rcond_complex {
($scalar:ty, $gecon:path) => {
impl Rcond_ for $scalar {
fn rcond(l: MatrixLayout, a: &[Self], anorm: Self::Real) -> Result<Self::Real> {
let (n, _) = l.size();
let mut rcond = Self::Real::zero();
let mut info = 0;
let mut work: Vec<MaybeUninit<Self>> = vec_uninit(2 * n as usize);
let mut rwork: Vec<MaybeUninit<Self::Real>> = vec_uninit(2 * n as usize);
let norm_type = match l {
MatrixLayout::C { .. } => NormType::Infinity,
MatrixLayout::F { .. } => NormType::One,
};
unsafe {
$gecon(
norm_type.as_ptr(),
&n,
AsPtr::as_ptr(a),
&l.lda(),
&anorm,
&mut rcond,
AsPtr::as_mut_ptr(&mut work),
AsPtr::as_mut_ptr(&mut rwork),
&mut info,
)
};
info.as_lapack_result()?;
Ok(rcond)
}
}
};
}
impl_rcond_complex!(c32, lapack_sys::cgecon_);
impl_rcond_complex!(c64, lapack_sys::zgecon_);